Results 221 to 230 of about 15,517 (265)

Exterior nonlinear Neumann problem

Nonlinear Differential Equations and Applications NoDEA, 2007
Let \(\Omega\subset\mathbb R^N\), \(N\geq 3\) be a bounded domain with smooth boundary and it is assumed that \(\Omega^c= \mathbb R^N\setminus\Omega\) does not have bounded components. The authors consider on \(\Omega^c\) the exterior Neumann problem \[ \begin{gathered} -\Delta u+ b(x)u= Q(x)|u|^{p-2} u\quad\text{in }\Omega^c,\;u> 0\quad\text{on ...
Chabrowski, J, Wang, ZQ
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Conjugate Points Revisited and Neumann–Neumann Problems

SIAM Review, 2009
The theory of conjugate points in the calculus of variations is reconsidered with a perspective emphasizing the connection to finite-dimensional optimization. The object of central importance is the spectrum of the second-variation operator, analogous to the eigenvalues of the Hessian matrix in finite dimensions.
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The ̄∂-Neumann Problem

1996
Here we study a boundary problem arising in the theory of functions of several complex variables.
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Symmetrization in parabolic neumann problems

Applicable Analysis, 1991
We consider the Cauchy-Neumann problem for parabolic operators of the kind: on a smooth cylinder [0,T]×Ω. By symmetrization techniques we establish for the solution u of this problem an estimate of the kind: where U is the solution of a symmetrized problem and u(t)*(·) is the decreasing rearrangement of u(t,.).
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The $$\overline{\partial }$$ -Neumann Problem

2010
Here we study a boundary problem arising in the theory of functions of several complex variables. A function u on an open domain \(\Omega \subset {\mathbb{C}}^{n}\) is holomorphic if \(\bar{\partial }u = 0\), where $$\bar{\partial }u ={ \sum \limits_{j}} \frac{\partial u} {\partial \bar{{z}}_{j}}\ d\bar{{z}}_{j},$$ (0.1) with \(d\bar{{z}}_{j}
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The neumann eigenvalue problem

Applicable Analysis, 1973
Let A be a bounded domain of the z-plane (z = x+i y) with a piece-wise smoorh boundary. In this paper the following elgenvalue problem will be considered denotes differentiation along the normal to )
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Extremal solutions for nonlinear neumann problems

Discussiones Mathematicae. Differential Inclusions, Control and Optimization, 2001
The authors investigate the Neumann problem in a smooth bounded domain for the equation \[ -\text{ div } \left(\|\nabla x\|^{p-2}\nabla x \right) = f(\cdot,x,\nabla x) \] with usual regularity and growth conditions on \(f\). Assuming the existence of upper and lower solutions the authors show that the set of solutions is nonvoid and directed and thus ...
A. FIACCA, SERVADEI, RAFFAELLA
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An inverse Neumann problem.

Journal für die reine und angewandte Mathematik (Crelles Journal), 1987
Etude d'un probleme de Neumann inverse pour des espaces a un nombre de dimensions ...
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Complex Neumann Problems

The Annals of Mathematics, 1957
Kohn, J. J., Spencer, D. C.
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Symmetrization in neumann problems

Applicable Analysis, 1979
Carla Maderna, Sandro Salsa, C. Pucci
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